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Finding the Fourth Proportional to 12,875.94, 19,306.47 and 6,864.60

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Solution

The fourth proportional to 12,875.94, 19,306.47 and 6,864.60 is: 10,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.94 : 19,306.47 = 6,864.60 : x
  2. Step 2: Convert to fraction form
    12,875.94/19,306.47 = 6,864.60/x
  3. Step 3: Cross multiply
    12,875.94x = 19,306.47 × 6,864.60
  4. Step 4: Simplify right side
    12,875.94x = 132,531,193.96
  5. Step 5: Solve for x
    x = 132,531,193.96/12,875.94
  6. Step 6: Final answer
    x = 10,292.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.